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11.03 Chords and angles

Adaptive
Worksheet

Interactive practice questions

$C$C is the center of the circle. Calculate $x$x.

A circle with center $C$C has two triangles drawn inside it. Both triangles have one of its vertices located at center $C$C of the circle. The angles of both triangles at center $C$C are congruent to each other, and are labeled $56^\circ$56°, indicating their measures. For each triangle, the two other vertices are both located along the circumference of the circle. For each triangle, two sides, which also represents the circles radius, are drawn from the center $C$C to the vertices located along the circumference. For each triangle, the third side is also a chord of the circle and the side opposite the $56^\circ$56° angle. One of the chords is labeled as $32$32, indicating its length, and the other chord is labeled as $x$x, indicating its unknown length.
 

Easy
< 1min

Calculate $x$x.

Easy
< 1min

Calculate $x$x.

Easy
< 1min

What is the length of $x$x?

Easy
< 1min
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Outcomes

G.C.A.2

Identify and describe relationships among inscribed angles, radii, and chords. Include the relationship between central, inscribed, and circumscribed angles; inscribed angles on a diameter are right angles; the radius of a circle is perpendicular to the tangent where the radius intersects the circle.

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